Answer :
Final answer:
To determine the number of grains of sand in a 10kg bag with each grain weighing 10 to the negative third gram, convert the weight to grams and then divide by the weight of one grain. The answer is 10 million grains.
Explanation:
Grains of sand in a 10kg bag can be calculated by converting the weight to grams first: 10kg = 10,000g. Then, since each grain weighs 10-3g, we divide the total weight by the weight of one grain: 10,000g / 10-3g = 10,000,000 grains. So, there are 10 million grains of sand in a 10kg bag.
If one grain of sand weighs 10^-3 gram, it is one thousandths of a gram. A kilogram (kg), is 1000 times the mass of a gram. So, you take the 10 kg and multiply by a conversion factor of 1 kg equaling 1000g. This results in you having 10000 grams. Multiply that by another thousand, seeing as each grain of sand weighs one thousandth of a gram. This should result in you getting 10000000, or 1.0 x 10^7 grains of sand.
